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Simplifying 9(j + 15) = -3j + -9 Reorder the terms: 9(15 + j) = -3j + -9 (15 * 9 + j * 9) = -3j + -9 (135 + 9j) = -3j + -9 Reorder the terms: 135 + 9j = -9 + -3j Solving 135 + 9j = -9 + -3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '3j' to each side of the equation. 135 + 9j + 3j = -9 + -3j + 3j Combine like terms: 9j + 3j = 12j 135 + 12j = -9 + -3j + 3j Combine like terms: -3j + 3j = 0 135 + 12j = -9 + 0 135 + 12j = -9 Add '-135' to each side of the equation. 135 + -135 + 12j = -9 + -135 Combine like terms: 135 + -135 = 0 0 + 12j = -9 + -135 12j = -9 + -135 Combine like terms: -9 + -135 = -144 12j = -144 Divide each side by '12'. j = -12 Simplifying j = -12
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